Open AccessSimplification of Coefficients in Differential Equations Associated with Higher Order Frobenius-Euler Numbers
Author(s) -
Feng Qi,
DaWei Niu,
BaiNi Guo
Publication year - 2018
Publication title -
tatra mountains mathematical publications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.171
H-Index - 12
eISSN - 1338-9750
pISSN - 1210-3195
DOI - 10.2478/tmmp-2018-0022
Subject(s) - mathematics , stirling number , stirling numbers of the second kind , stirling numbers of the first kind , binomial coefficient , euler's formula , pure mathematics , order (exchange) , differential equation , ordinary differential equation , mathematical analysis , discrete mathematics , finance , economics
In the paper, the authors apply Faà di Bruno formula, some properties of the Bell polynomials of the second kind, the inversion formulas of binomial numbers and the Stirling numbers of the first and the second kind, to significantly simplify coefficients in two families of ordinary differential equations associated with the higher order Frobenius–Euler numbers.